Phase Drift Minimization in Dirichlet Series: An Analytic Condition for the Riemann Hypothesis

Key Points

• To establish a novel analytic condition for the Riemann Hypothesis through phase drift minimization.
• Introduced an analytic condition based on phase drift minimization.
• Examined the geometric amplification law and structural coupling coefficient.
• Identified the critical line as the locus of phase equilibrium.
• Conducted numerical simulations using high-precision mpmath to validate findings.
• Confirmed minimal drift and phase symmetry on the critical line.
• Off-critical zeros displayed an uncancelled bias against meromorphic continuation.
• Highlighted the integral role of the critical line in phase equilibrium.